Find the Least Common Multiple (LCM) of 50 and 90​

The graph of the quadratic inequality -x² + 8x - 12 > 0 is attached below

A quadratic inequality of the form y > ax² + bx + c (or substitute <,≥ or ≤ for >) represents a region of the plane bounded by a parabola .

To graph a quadratic inequality, start by graphing the parabola. Then fill in the region either above or below it, depending on the inequality.

If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line.

Otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that the region does not include its boundary.

In the question given, we have a quadratic inequality

-x² + 8x - 12 > 0

Using a graphing calculator to solve this;

Kindly find attached graph below

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Answer: b.

look at my picture.

Step-by-step explanation:

Answer:

I would say number 2

Step-by-step explanation:

hope this helped

Answer:

B.(-1,3)

you just have to count up 6 points above from where the first car is parked,once you count up 6 thats where the second car parked.

hope that helped you out:)

please mark me brainiest

The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.

The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.

The wiper's arm is represented by a line segment and has a length of 14 inches.

The wiper's blade is perpendicular to the arm and has a length of 25 inches.

Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.

As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.

The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.

In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.

Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.

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Answer:

i would say true

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.(3, -4)

Answer: C

Step-by-step explanation:

So sorry! I just double checked, its mapping rule is (x,y) turns to (-y,x). It would be -4,3.

Answer:

a - 8/2

Step-by-step explanation:

i hope this help;-)

Answer:

\(\frac{1}{2} (a - 8)\)

Step-by-step explanation:

\(\frac{1}{2} (a - 8)\) = \(\frac{1}{2}a - 4\)

they are equal because 8 divided by 2 is 4 so you still get \(\frac{1}{2}a - 4\)

Using the constant of proportionality the value of x when y is 72 is 9.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.

To find k, we can use the given information that y = 48 when x = 6 -

y = kx

48 = k(6)

k = 8

Now that we know k, we can use it to find x when y = 72 -

y = kx

72 = 8x

x = 9

Therefore, when x = 72, the value of x = 9.

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Answer:

Polynomials

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

The fraction of silver or brown canoes is 7/10.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total canoes team = 10

5 teams have silver canoes team.

2 teams have brown canoes team.

Now,

The fraction of silver and brown canoes.

= (5 + 2) / 10

= 7/10

Thus,

7/10

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Based on calculation done, there are 240 payments toward the loan and the total amount paid over the full term of the loan is approximately $140,880.

a. Using the given information, we can calculate the loan's present value using the formula for a present value of an annuity:

\(PV = PMT \times \frac{[(1 - (1 + r/n)^{(-n \times t)}]}{(r/n)}\)

where

PV is the present value,

PMT is the payment amount,

r is the annual interest rate,

n is the number of payments per year, and

t is the loan term in years.

Substituting the given values, we get:

\(PV = 587 \times \frac{[(1 - (1 + 0.05/12)^{(-12 \times 20)}]}{(0.05/12)}\)

PV ≈ $89,000 (rounded to the nearest dollar)

So, the present value of the loan is approximately $89,000.

b. The total number of payments required for the loan is equal to the total number of months in the loan term:

Number of payments = 12 × 20 = 240

The total amount paid over the full term of the loan is equal to the payment amount multiplied by the total number of payments:

Total amount paid = Payment amount × Number of payments

Total amount paid = 587 × 240

Total amount paid ≈ $140,880 (rounded to the nearest dollar)

Therefore, there are 240 payments toward the loan and the total amount paid over the full term of the loan is approximately $140,880.

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The rate of decrease of the weather in degrees per hour is 2 degrees.

The time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.

The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.

Therefore, the rate of decrease of the weather in degrees per hour is:

-8 degrees / 4 hours = -2 degrees per hour

A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.

Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.

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Answer: it’s a Constant!

Step-by-step explanation:

It will take Cromwell approximately 22.2 / 2 = 11.1 years to pay for the land.

We can use the formula for the present value of an annuity to find the number of years it will take Cromwell to pay for the land. The formula is:

\(PV = PMT * [(1 - (1 + r)^{(-n)}) / r]\)

where PV is the present value (in this case, 1,750,000), PMT is the payment amount (100,000), r is the interest rate per period (6.35% / 2 = 0.03175), and n is the total number of periods (in this case, twice the number of years since there are two semiannual payments per year).

Substituting in the values, we get:

1,750,000 = \(100,000 * [(1 - (1 + 0.03175)^{(-2n)}) / 0.03175]\)

Simplifying and solving for n, we get:

\((1 - (1 + 0.03175)^{(-2n} ) / 0.03175 = 17.5\\1 - (1 + 0.03175)^{(-2n)} = 0.03175 * 17.5\\(1 + 0.03175)^{(-2n)} = 0.933\)

Taking the natural logarithm of both sides, we get:

\(-2n * ln(1.03175) = ln(0.933)\\n = ln(0.933) / (-2 * ln(1.03175))\\n ≈ 22.2\)

Therefore, it will take Cromwell approximately 22.2 / 2 = 11.1 years to pay for the land.

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The diagram shows that ∠2 and ∠4 are the vertical angles.

Vertical angles are the angles that are opposite of each other when two lines cross.

The statements are:

1. < 2 & < 4 are vert. angles

2. Lines M & N intersect at P

3. < 2 & < 3 are a linear pair

4. m < 2 + m < 3 = 180

5. <3 and < 4 are a linear pair

6. m < 3 + m <4 =180

7. m < 2 + m < 3 = m < 3 + m < 4

8. m < 2 = m < 4

9. < 2 =~ <4

Here are the reasons:

1. Given

2. Def of vertical angles.

3. Def of. Linear pair

4. Angle addition postulate

5. Def of a linear pair

6. Angle addition postulate

7. Substitution property

8. Subtraction property

9. Def of =~ angles.

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Answer: View the picture below!

Step-by-step explanation: Just did the assignment!

The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

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Answer:

What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.

Graph of linear function

Graph of linear function

A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.

A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.

Examples of linear functions include:

If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.

Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.

If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.

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Exponential Functions

What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.

Graphs of exponential functions

Graphs of exponential functions

An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.

An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.

Examples of exponential functions include:

Step-by-step explanation:

Answer:

= 0.6 inches per hour

Step-by-step explanation: Showing Work

This is a fraction equal to

3 inches ÷ 5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 5

3 inches ÷ 5

5 hours ÷ 5

=

0.6 inches

1 hour

=

0.6 inches

hour

= 0.6 inches per hour

the answer is 0.6 inches per hour

Answer:

t=-4

Step-by-step explanation:

48/-12

Answer:

48=-12t

We simplify the equation to the form, which is simple to understand  

48=-12t

We move all terms containing t to the left and all other terms to the right.  

+12t=-48

We simplify left and right side of the equation.  

+12t=-48

We divide both sides of the equation by 012 to get t.  

t=-4

The number of days that he was in Europe will be 42 days.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since Jordan went to Europe for vacation. He spent 1/3 of his time in Spain.

If he was in Spain for 14 days, the number of days that he was in Europe will be:

1/3 × x = 14

x = (14 × 3)

x = 42 days

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Jordan went to Europe for vacation. He spent 1/3 of his time in Spain. If he was in Spain for 14 days, how long was he in Europe?

Answer:

6 pounds of coffee

Step-by-step explanation:

You take $90-$44.76=$45.24. Then you divide $45.24 by $7.54 then you get 6 pounds of coffee.

The measure of ∠STW is 119° which is an exterior angle of ΔRST.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180°.

We also know that the measure of an exterior angle in a triangle is the sum of the two opposite interior angles.

∴ In ΔRST,

14x + 7 = 9x + 3 + 44.

14x - 9x = 47 - 7.

5x = 40.

x = 8.

So, the measure of ∠STW is 14(8) + 7.

= 119°.

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The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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Step 1. The information that we have is:

• 200 tickets are sold at a price of $5

• 10 will win a prize of $20

• 4 will win a prize of $15

• 1 will win a prize of $50

Required: Find the expected value of buying a ticket.

Step 2. We will find the value of the ticket for each case and its probability.

For those 10 people who bought a $5 ticket and won a $20 prize, the value of their ticket was:

And the probability of being one of those 10 people for whom the ticket is worth $15 is:

Step 3. For the 4 people who will win a $15 prize, the value of their ticket was:

We subtract 5 because of the initial ticket they bought.

And the probability of being one of those people for whom the ticket is worth $10 is:

Step 4. One will win a prize of $50, for that person, the value of their ticket is:

And the probability of being the person for whom the ticket is worth $45 is:

Step 5. For the rest of the people (the rest is 185 people) who do not win any prize, the value of their ticket is a negative 5 because they spent $5 on the ticket but do not win any prize.

The probability of being one of those people for whom the ticket value is -$5 is:

Step 6. To summarize, we can make a table where x is the value of the ticket and P(x) is the probability:

Step 7. The expected value is found using the formula:

Where each term represents the multiplication of one x value and its probability.

The result is:

Making the operations:

The expected value is -$3.45

Answer:

-3.45

Answer:

The answer would be 98.

Step-by-step explanation:

You divide 700 by 50. Then multiply by 7.

Answer:

238

Step-by-step explanation:

Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)